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arXiv 1006.1091hep-phhep-ex
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LFQM中$Υ(nS)$态波函数和$Υ(nS)\to η_b+γ$辐射衰变的再研究

Re-Study on the wave functions of $Υ(nS)$ states in LFQM and the radiative decays of $Υ(nS)\to η_b+γ$

Hong-Wei Ke, Xue-Qian Li, Zheng-Tao Wei, Xiang Liu

摘要:

本文应用光阵面夸克模型(LFQM)计算了重强子衰变的跃迁矩阵元。然而,使用文献中给出的LFQM的传统波函数,理论上确定的$Υ(nS)$的衰减常数与数据明显矛盾。这意味着必须修改波函数。在保持$nS$态间正交性的基础上,拟合了它们的衰减常数,得到了一系列$Υ(nS)$的波函数。基于这些波函数,并通过类比氢原子,我们提出了一个修改的分析形式的$Υ(nS)$波函数。用修正的波函数计算得到的衰减常数与实验值比较接近。然后计算了$Υ(nS)\to η_b+γ$的辐射衰变率。在理论和实验误差范围内,我们的预测与$Υ(3S)\to η_b+γ$衰变的实验数据一致。

英文摘要:

The Light-front quark model (LFQM) has been applied to calculate the transition matrix elements of heavy hadron decays. However, it is noted that using the traditional wave functions of the LFQM given in literature, the theoretically determined decay constants of the $Υ(nS)$ obviously contradict to the data. It implies that the wave functions must be modified. Keeping the orthogonality among the $nS$ states and fitting their decay constants we obtain a series of the wave functions for $Υ(nS)$. Based on these wave functions and by analogy to the hydrogen atom, we suggest a modified analytical form for the $Υ(nS)$ wave functions. By use of the modified wave functions, the obtained decay constants are close to the experimental data. Then we calculate the rates of radiative decays of $Υ(nS)\to η_b+γ$. Our predictions are consistent with the experimental data on decays $Υ(3S)\to η_b+γ$ within the theoretical and experimental errors.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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